The purpose of this lab was to show the accuracy of the different measuring tools available to us, as well as use the two fundamental measurements, length and mass.
Hypothesis:
It is hypothesized that the measurements gathered with our tools will be close to the actual measurements, and will therefor have a low percent error.
Apparatus:
Meterstick
English SI Ruler
Caliper
Micrometer
Cylinders
Spheres
Balance
Procedure:
First, one of the cylinders was measured for length and diameter with the caliper. Radius was found by d/2. Then, the cylinder was measured with the balance to find its mass. The same was done for the second cylinder.
Secondly, one of the spheres was measured for its length and diameter with the micrometer. Radius was found by d/2. Then, the sphere was measured with the balance to find its mass. The same was done for the second sphere.
Data:
Figure 1.1 Cylinder 1
Trial
Length L
Diameter D
Radius R
No.
cm
cm
cm
1
9.71
1.64
8.2
2
9.71
1.64
8.2
3
9.71
1.64
8.2
Volume: 21cm^3
Mass: 22.289g
Experimental mass density: 1.1 g/cm^3
Accepted mass density:1.24 g/cm^3
Error:.14 g/cm^3
% Error: .11%
Figure 1.2 Cylinder 2
Trial
Length L
Diameter D
Radius R
No.
cm
cm
cm
1
7.63
1.61
0.81
2
7.63
1.61
0.81
3
7.63
1.61
0.81
Volume: 16 cm^3
Mass: 17.401g
Experimental mass density: 1.12 g/cm^3
Accepted mass density: 1.24 g/cm^3
Error: .12g/cm^3
% Error: 9.7%
Figure 2.1 Sphere 1
Trial
Length L
Diameter D
Radius R
No.
cm
cm
cm
1
2.55
2.55
1.28
2
2.55
2.55
1.28
3
2.55
2.55
1.28
Volume: 8.34 cm^3
Mass: 20.062g
Experimental mass density: 2.41g/cm^3
Accepted mass density: 2.7g/cm^3
Error: .294 g/cm^3
% Error: 11%
Figure 2.2 Sphere 2
Trial
Length L
Diameter D
Radius R
No.
cm
cm
cm
1
1.42
1.42
0.71
2
1.42
1.42
0.71
3
1.42
1.42
0.71
Volume: 1.50cm^3
Mass: 3.049g
Experimental mass density: 2.04g/cm^3
Accepted mass density: 2.56g/cm^3
Error: .525g/cm^3
% Error: 20.5%
Analysis:
Volume of a cylinder: πr^2h
(π(8.2)^2 x 9.71 = 16 cm^3)
Volume of a sphere: 4/3πr^3 ( 4/3π(.71)^3 = 1.50 cm^3)
% Error: (abs(expected value – experimental value)/expected value) x 100 (abs(2.56g/cm^3 – 2.04g/cm^3)/2.56g/cm^3) x 100 = 20.5%
The high percent error could be due to faulty measuring equipment, or the own personal fault of a group member in using the measuring tools.
Conclusion:
Contrary to the hypothesis, the percent error of 1.2,1.3, and 1.4 were quite high (>5.0%).
The purpose of this lab was to show the accuracy of the different measuring tools available to us, as well as use the two fundamental measurements, length and mass.
Hypothesis:
It is hypothesized that the measurements gathered with our tools will be close to the actual measurements, and will therefor have a low percent error.
Apparatus:
Procedure:
First, one of the cylinders was measured for length and diameter with the caliper. Radius was found by d/2. Then, the cylinder was measured with the balance to find its mass. The same was done for the second cylinder.
Secondly, one of the spheres was measured for its length and diameter with the micrometer. Radius was found by d/2. Then, the sphere was measured with the balance to find its mass. The same was done for the second sphere.
Data:
Figure 1.1 Cylinder 1
Volume: 21cm^3
Mass: 22.289g
Experimental mass density: 1.1 g/cm^3
Accepted mass density:1.24 g/cm^3
Error:.14 g/cm^3
% Error: .11%
Figure 1.2 Cylinder 2
Volume: 16 cm^3
Mass: 17.401g
Experimental mass density: 1.12 g/cm^3
Accepted mass density: 1.24 g/cm^3
Error: .12g/cm^3
% Error: 9.7%
Figure 2.1 Sphere 1
Volume: 8.34 cm^3
Mass: 20.062g
Experimental mass density: 2.41g/cm^3
Accepted mass density: 2.7g/cm^3
Error: .294 g/cm^3
% Error: 11%
Figure 2.2 Sphere 2
Volume: 1.50cm^3
Mass: 3.049g
Experimental mass density: 2.04g/cm^3
Accepted mass density: 2.56g/cm^3
Error: .525g/cm^3
% Error: 20.5%
Analysis:
Volume of a cylinder: πr^2h
(π(8.2)^2 x 9.71 = 16 cm^3)
Volume of a sphere: 4/3πr^3
( 4/3π(.71)^3 = 1.50 cm^3)
% Error: (abs(expected value – experimental value)/expected value) x 100
(abs(2.56g/cm^3 – 2.04g/cm^3)/2.56g/cm^3) x 100 = 20.5%
The high percent error could be due to faulty measuring equipment, or the own personal fault of a group member in using the measuring tools.
Conclusion:
Contrary to the hypothesis, the percent error of 1.2,1.3, and 1.4 were quite high (>5.0%).